001 10.0 points A visitor to a lighthouse wishes to determine the height of the tower. She ties a spool of thread to a small rock to make a simple pendulum, which she hangs down the center of a spiral staircase of the tower. The period of oscillation is 10.5 s. The acceleration of gravity is 9.8 m/s. What is the height of the tower? Answer in units of m. 002 10.0 points Note: The pendulum bob is released at a height below the height of the peg. Assume: Use the small angle approximate (sin =) to calculate the period. A pendulum made of a string of length 10.1 m and a spherical bob of mass 6.5 kg is able to swing in a vertical plane. The pen- dulum is released from an angular position 38 from vertical as shown in the figure be- low. The string hits a peg located a distance 6 m below the point of suspension and swings about the peg up to an angle a on the other side of the peg. Then, the bob proceeds to oscillate back and forth between these two angular extremities. The acceleration of gravity is 9.8 m/s. 10.1 m 6.5 kg 38 6 m 9.8 m/s What is the period of the pendulum plus peg system as shown above? Answer in units of s. 003 (part 1 of 2) 10.0 points A simple pendulum has a period of 3.37 s. The acceleration of gravity is 9.8 m/s. What is its length? Answer in units of m. 004 (part 2 of 2) 10.0 points What would its period be on the Moon, where 9Moon 1.67 m/s? Answer in units of s. 005 10.0 points As your jet plane speeds down the runway on takeoff, you measure its acceleration by suspending your yo-yo as a simple pendulum and noting that when the bob (of mass 800 g) is at rest relative to you, the string (of length 20.7 cm) makes an angle of 77 with the vertical. The acceleration of gravity is 9.81 m/s. Find the period for small oscillations of this pendulum. Answer in units of s.